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Simplifying 4(x + 4) = 24 + 5(x + -35) Reorder the terms: 4(4 + x) = 24 + 5(x + -35) (4 * 4 + x * 4) = 24 + 5(x + -35) (16 + 4x) = 24 + 5(x + -35) Reorder the terms: 16 + 4x = 24 + 5(-35 + x) 16 + 4x = 24 + (-35 * 5 + x * 5) 16 + 4x = 24 + (-175 + 5x) Combine like terms: 24 + -175 = -151 16 + 4x = -151 + 5x Solving 16 + 4x = -151 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 4x + -5x = -151 + 5x + -5x Combine like terms: 4x + -5x = -1x 16 + -1x = -151 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -1x = -151 + 0 16 + -1x = -151 Add '-16' to each side of the equation. 16 + -16 + -1x = -151 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = -151 + -16 -1x = -151 + -16 Combine like terms: -151 + -16 = -167 -1x = -167 Divide each side by '-1'. x = 167 Simplifying x = 167
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